MinT - Information on Result #869066

Information on Result #869066

Linear OOA(32²⁶, 4194301, F₃₂, 2, 6) (dual of [(4194301, 2), 8388576, 7]-NRT-code), using OOA 2-folding based on linear OA(32²⁶, 8388602, F₃₂, 6) (dual of [8388602, 8388576, 7]-code), using

discarding factors / shortening the dual code based on linear OA(32²⁶, large, F₃₂, 6) (dual of [large, large−26, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 33554431Â = 32⁵âˆ’1, defining interval IÂ =Â [0,5], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 7 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(32²⁸, 4194302, F₃₂, 2, 6) (dual of [(4194302, 2), 8388576, 7]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(32²⁷, 4194301, F₃₂, 2, 6) (dual of [(4194301, 2), 8388575, 7]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(32²⁹, 4194334, F₃₂, 2, 6) (dual of [(4194334, 2), 8388639, 7]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
4	Linear OOA(32³⁰, 4195326, F₃₂, 2, 6) (dual of [(4195326, 2), 8390622, 7]-NRT-code)	[i]
5	Linear OOA(32³¹, 4197437, F₃₂, 2, 6) (dual of [(4197437, 2), 8394843, 7]-NRT-code)	[i]
6	Linear OOA(32³², 4229151, F₃₂, 2, 6) (dual of [(4229151, 2), 8458270, 7]-NRT-code)	[i]
7	Linear OOA(32³³, 5244925, F₃₂, 2, 6) (dual of [(5244925, 2), 10489817, 7]-NRT-code)	[i]
8	Linear OOA(32³⁴, 7408701, F₃₂, 2, 6) (dual of [(7408701, 2), 14817368, 7]-NRT-code)	[i]
9	Linear OOA(32³⁵, 8388602, F₃₂, 2, 6) (dual of [(8388602, 2), 16777169, 7]-NRT-code)	[i]
10	Linear OOA(32⁸², 8388602, F₃₂, 2, 12) (dual of [(8388602, 2), 16777122, 13]-NRT-code)	[i]
11	Linear OOA(32⁸⁷, 8388602, F₃₂, 2, 13) (dual of [(8388602, 2), 16777117, 14]-NRT-code)	[i]
12	OOA(32³¹, 4198397, S₃₂, 2, 6)	[i]
13	OOA(32⁸⁰, 8388602, S₃₂, 2, 12)	[i]
14	OOA(32⁸⁵, 8388602, S₃₂, 2, 13)	[i]